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20082021
most citedInvariant Measures and Maximal L^2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations

25 citations · 78 across the 16 of their papers we have counts for

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math.PR2021★ 1 cited

Smoothing effects and maximal Hölder regularity for non-autonomous Kolmogorov equations in infinite dimension

Sandra Cerrai, Alessandra Lunardi

We prove smoothing properties and optimal Schauder type estimates for a class of nonautonomous evolution equations driven by time dependent Ornstein-Uhlenbeck operators in a separa…

math.PR2018

On the law of the minimum of the solutions to a class of unidimensional SDEs

Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro

We prove that the law of the minimum of the solution to a one-dimensional ODE with good nonlinearity has continuous density with respect to the Lebes…

math.PR2016

Malliavin Calculus for non Gaussian differentiable measures and surface measures in Hilbert spaces

Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro

We construct surface measures in a Hilbert space endowed with a probability measure . The theory fits for invariant measures of some stochastic partial differential equations su…

math.PR2016

Averaging principle for non autonomous slow-fast systems of stochastic RDEs: the almost periodic case

Sandra Cerrai, Alessandra Lunardi

We study the validity of an averaging principle for a slow-fast system of stochastic reaction diffusion equations. We assume here that the coefficients of the fast equation depend…

math.PR2014

Surface measures in infinite dimension

Giuseppe Da Prato, Alessandra Lunardi, Luciano Tubaro

We construct surface measures associated to Gaussian measures in separable Banach spaces, and we prove several properties including an integration by parts formula.